Pith Number

pith:KSLJDV2Q

pith:2010:KSLJDV2QACZWMRRLWDDTUED57S

not attested not anchored not stored refs pending

On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume

Francesco Costantino, Jun Murakami

arxiv:1005.4277 v7 · 2010-05-24 · math.GT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSLJDV2QACZWMRRLWDDTUED57S}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:23:13.258590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

549691d75000b366462bb0c73a107dfcac6bb27a419c8989cb08580a3f3e5bd9

Aliases

arxiv: 1005.4277 · arxiv_version: 1005.4277v7 · doi: 10.48550/arxiv.1005.4277 · pith_short_12: KSLJDV2QACZW · pith_short_16: KSLJDV2QACZWMRRL · pith_short_8: KSLJDV2Q

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KSLJDV2QACZWMRRLWDDTUED57S \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 549691d75000b366462bb0c73a107dfcac6bb27a419c8989cb08580a3f3e5bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae773b8b92cf4123f16e466a17382192dc828da6e42a2f0c6955b56b29531039",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-05-24T08:37:37Z",
    "title_canon_sha256": "6c4a5d7e3225ca397104b101ecb06aa9daaae7eefd403fdc5204d9931c4d3996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4277",
    "kind": "arxiv",
    "version": 7
  }
}